312241142213 has 32 divisors (see below), whose sum is σ = 441297776640. Its totient is φ = 212768544960.

The previous prime is 312241142209. The next prime is 312241142219.

It is a happy number.

312241142213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312241142213 - 2² = 312241142209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312241142219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8189645 + ... + 8227682.

It is an arithmetic number, because the mean of its divisors is an integer number (13790555520).

Almost surely, 2^312241142213 is an apocalyptic number.

It is an amenable number.

312241142213 is a deficient number, since it is larger than the sum of its proper divisors (129056634427).

312241142213 is a wasteful number, since it uses less digits than its factorization.

312241142213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16417377.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 312241 and 142213, that added together give a palindrome (454454).

The spelling of 312241142213 in words is "three hundred twelve billion, two hundred forty-one million, one hundred forty-two thousand, two hundred thirteen".